Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600y |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-227840000000 = -1 · 215 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 1 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,-140012] |
[a1,a2,a3,a4,a6] |
Generators |
[828:23750:1] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
5.0630698213285 |
L(r)(E,1)/r! |
Ω |
0.28348056637934 |
Real period |
R |
4.4650942796487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450l1 7120p1 |
Quadratic twists by: -4 5 |